Calculate the average rate of change of f on each interval. What happens to this average rate of change as the interval decreases in length?f(x) = x3
(i) [2.9, 3.1] (ii) [2.99, 3.01] (iii) [2.999, 3.001]
A. (i) 9.03; (ii) 9.0003; (iii) 9.000003; approaches 9.
B. (i) 27.01; (ii) 27.0001; (iii) 27.000001; approaches 27.
C. (i) 0.90033333; (ii) 0.09000033; (iii) 0.009; approaches 1.
D. (i) 6; (ii) 6; (iii) 6; approaches 6.
Answer: B
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A. 184.1% B. 53.4% C. 181.4% D. 54.3%
Graph f by hand by first plotting points to determine the shape of the graph.f(x) = x
A.
B.
C.
D.
Find an equation for the indicated ellipse.Center (0, 0), horizontal major axis of length 18 and minor axis of length 10
A. +
= 1
B. +
= 1
C. +
= 1
D. +
= 1
Solve the inequality. Express your answer using interval notation. Graph the solution set.x(25x + 4) ? (5x + 7)2
A.
B.
C.
D.